[volkuleshov]

The problem with the DFT is not whether it's lossless or not, it's that it may not be the best feature representation for a given task.

Both the DFT and the proposed model apply convolutions to the input, but in the former case, these are fixed, while in the latter, they are learned.

This is similar to how we don't use hard-coded features like SIFT or wavelets, or Gabor filters when we do image classification with a CNN.